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Linear functions SAT question

Math · Algebra · Easy · Answer it here, explanation included.

If f is the function defined by f of x equals, the fraction with numerator 2 x minus 1, and denominator 3, what is the value of f of 5 ?

ExplanationShow

Choice C is correct. If f of x, equals the fraction with numerator 2 x minus 1, and denominator 3, then f of 5, equals the fraction with numerator 2 times 5, minus 1, and denominator 3, which equals the fraction with numerator 10 minus 1, and denominator 3, which equals the fraction 9 over 3, which equals 3.

Choice A is incorrect and may result from not multiplying x by 2 in the numerator. Choice B is incorrect and may result from dividing 2x by 3 and then subtracting 1. Choice D is incorrect and may result from evaluating only the numerator 2x – 1.

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